As of Java 7 update 51, the Staff Remote Desktop will not automatically connect without some changes to the Java security settings.
Open the Java Control Panel. On Windows this is located in Control Panel, accessed through your Start Menu; on 64-Bit Windows it is C:\Program Files (x86)\Java\jre7\bin\javacpl.exe and on Mac OSX it is located in System Preferences.
Select the Security Tab and then select Edit Site List....
Type in https://staff.ts.shu.ac.uk and then click OK, and OK again.